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SUMMARY:Zhixiang Wu (Université Paris-Saclay)
DTSTART:20210419T230000Z
DTEND:20210419T235000Z
DTSTAMP:20260423T024758Z
UID:UCLA_NTS/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/28/
 ">Companion forms and partially classical eigenvarieties</a>\nby Zhixiang 
 Wu (Université Paris-Saclay) as part of UCLA Number Theory Seminar\n\n\nA
 bstract\nIn general\, there exist $p$-adic automorphic forms of different 
 weights with the same associated $p$-adic Galois representation. In this t
 alk\, I will report some result on the existence of companion forms for de
 finite unitary groups when the Hodge-Tate weights are not regular\, genera
 lizing the work of Breuil-Hellmann-Schraen in regular cases. One key ingre
 dient of the proof is some partially classical properties of $p$-adic auto
 morphic forms in the term of Emerton's Jacquet module for locally analytic
  representations\, which will imply some partially de Rham properties of G
 alois representations in finite slope cases with the help of Ding's partia
 l eigenvarieties.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/28/
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